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449564886016 = 2102329112
BaseRepresentation
bin1101000101011000010…
…01111100010000000000
31120222101221122110102221
412202230021330100000
524331202102323031
6542305515420424
744323431323611
oct6425411742000
91528357573387
10449564886016
11163728726914
1273166454714
13335171c3b6c
1417a8abcbc08
15ba62e90a11
hex68ac27c400

449564886016 has 99 divisors (see below), whose sum is σ = 940495478503. Its totient is φ = 214773278720.

The previous prime is 449564885999. The next prime is 449564886041. The reversal of 449564886016 is 610688465944.

It is a happy number.

The square root of 449564886016 is 670496.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 493484601 + ... + 493485511.

Almost surely, 2449564886016 is an apocalyptic number.

449564886016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

449564886016 is the 670496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449564886016

449564886016 is an abundant number, since it is smaller than the sum of its proper divisors (490930592487).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

449564886016 is an frugal number, since it uses more digits than its factorization.

449564886016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 449564886016 in words is "four hundred forty-nine billion, five hundred sixty-four million, eight hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 911 1024 1058 1472 1822 2116 2944 3644 4232 5888 7288 8464 11776 14576 16928 20953 23552 29152 33856 41906 58304 67712 83812 116608 135424 167624 233216 270848 335248 466432 481919 541696 670496 829921 932864 963838 1340992 1659842 1927676 2681984 3319684 3855352 5363968 6639368 7710704 10727936 13278736 15421408 19088183 21455872 26557472 30842816 38176366 53114944 61685632 76352732 106229888 123371264 152705464 212459776 246742528 305410928 424919552 439028209 493485056 610821856 849839104 878056418 1221643712 1756112836 2443287424 3512225672 4886574848 7024451344 9773149696 14048902688 19546299392 28097805376 56195610752 112391221504 224782443008 449564886016